Finding the Third Proportional to 33,615 and 72,414

Step by Step Solution

1. Step 1: Write the proportion equation
   33,615 : 72,414 = 72,414 : x
2. Step 2: Convert to fraction form
   33,615/72,414 = 72,414/x
3. Step 3: Cross multiply
   33,615x = 72,414 × 72,414
4. Step 4: Simplify right side
   33,615x = 5,243,787,396
5. Step 5: Solve for x
   x = 5,243,787,396/33,615
6. Step 6: Final answer
   x = 155,995.46